Q: How is the number 28,245,885 written in Scientific Notation?
A: 2.8245885 x 107
The purpose of scientific notation is for scientists to write very large, or very small, numbers with ease.
Calculating scientific notation for a positive integer is simple, as it always follows this notation:
a x 10b
Follow the steps below to see how 28,245,885 is written in scientific notation.
To find a, take the number and move a decimal place to the right one position.
Now, to find b, count how many places to the right of the decimal.
| New Number: | 2 | . | 8 | 2 | 4 | 5 | 8 | 8 | 5 |
| Decimal Count: | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
There are 7 places to the right of the decimal place.
Building upon what we know above, we can now reconstruct the number into scientific notation.
Remember, the notation is: a x 10b
a = 2.8245885
b = 7
Now the whole thing:
2.8245885 x 107
Check your work:
107 = 10,000,000 x 2.8245885 = 28,245,885
| 28,245,883 | 28,245,884 | 28,245,886 | 28,245,887 |
| 2.8245883 x 107 | 2.8245884 x 107 | 2.8245886 x 107 | 2.8245887 x 107 |